The Elements of EuclidJohnson and Warner, 1811 - 518 páginas |
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Página 10
... ABC , or CBA ; that which is contained by AB , DB is named the angle ABD , or DBA ; and that which is contained by ... circle is a plane figure contained by 10 THE ELEMENTS Book I. ...
... ABC , or CBA ; that which is contained by AB , DB is named the angle ABD , or DBA ; and that which is contained by ... circle is a plane figure contained by 10 THE ELEMENTS Book I. ...
Página 15
... circle BCD , and from the centre B , at the distance BA , describe the circle ACE ; and from the point C , in which the circles cut one the circles another , draw the straight lines b CA , CB to the points A , B ; ABC shall be an ...
... circle BCD , and from the centre B , at the distance BA , describe the circle ACE ; and from the point C , in which the circles cut one the circles another , draw the straight lines b CA , CB to the points A , B ; ABC shall be an ...
Página 16
... circle GKL , e 15. Def . DL is equal to DG , and DA , DB , parts of them ... circle DEF ; and because A is the cen- 1. Ax . F tre of the circle DEF , AE ... ABC , DEF be two triangles which have the two sides AB , AC equal to the two ...
... circle GKL , e 15. Def . DL is equal to DG , and DA , DB , parts of them ... circle DEF ; and because A is the cen- 1. Ax . F tre of the circle DEF , AE ... ABC , DEF be two triangles which have the two sides AB , AC equal to the two ...
Página 30
... circle LKH , GH is equal to GK ; but GH is equal to C ; therefore also GK is equal to C ; and FG is equal to B ... ABC , DEF be two triangles which have 30 THE ELEMENTS.
... circle LKH , GH is equal to GK ; but GH is equal to C ; therefore also GK is equal to C ; and FG is equal to B ... ABC , DEF be two triangles which have 30 THE ELEMENTS.
Página 68
... circle . Let ABC be the given circle ; it is required to find its centre . Draw within it any straight line AB , and bisect it in D ; from the point D draw b DC at right angles to AB , and pro- duce it to E , and bisect CE in F : the ...
... circle . Let ABC be the given circle ; it is required to find its centre . Draw within it any straight line AB , and bisect it in D ; from the point D draw b DC at right angles to AB , and pro- duce it to E , and bisect CE in F : the ...
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Términos y frases comunes
altitude angle ABC angle BAC base BC BC is equal BC is given bisected Book XI centre circle ABCD circumference cone cylinder demonstrated described diameter draw drawn equal angles equiangular equimultiples Euclid excess fore given angle given in magnitude given in position given in species given magnitude given ratio given straight line gnomon greater join less Let ABC meet multiple parallel parallelogram parallelogram AC perpendicular point F polygon prism proportionals proposition pyramid Q. E. D. PROP radius ratio of AE rectangle CB rectangle contained rectilineal figure remaining angle right angles segment sides BA similar solid angle solid parallelopiped square of AC straight line AB straight line BC tangent THEOR third triangle ABC triplicate ratio vertex wherefore